Map projections: a reference manual
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Taylor & Francis
1998
|
| Ausgabe: | Repr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 328 S. graph. Darst., Kt. |
| ISBN: | 0748403035 0748403043 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804127459776397312 |
|---|---|
| adam_text | Titel: Map projections
Autor: Bugaevskij, Lev M.
Jahr: 1998
Contents
Symbols ix
Preface xi
Introduction xiii
1 General theory of map projections 1
1.1 Coordinate systems used in mathematical cartography 1
1.2 Definition of map projections: equations for meridians and
parallels; the map graticule; conditions for transformation 13
1.3 Elements for transforming an infinitestimal spheroidal (or
spherical) quadrangle onto a plane 15
1.4 Scale 17
1.5 Conditions for conformai, equal-area, and equidistant
transformation of an ellipsoidal (or spherical) surface onto a
plane 20
1.6 Distortion on map projections 22
1.7 Transformation of one type of surface onto other types: that of
the ellipsoid of revolution onto the surface of a sphere 30
1.8 Classification of map projections 41
2 Map projections with straight parallels 49
2.1 Cylindrical projections 49
2.2 Pseudocylindrical projections 64
3 Map projections with parallels in the shape of concentric circles 89
3.1 Conic projections 89
3.2 Azimuthal projections 101
3.3 Perspective azimuthal projections 109
3.4 Pseudoconic projections 123
3.5 Pseudoazimuthal projections 129
3.6 Retroazimuthal projections 132
4 Map projections with parallels in the shape of non-concentric
circles 135
4.1 General formulas for polyconic projections 135
4.2 Polyconic projections in a general sense 135
vi Map projections: a reference manual
4.3 Polyconic projections in a narrow sense 149
4.4 Characteristics of polyconic projections 153
5 Projections for topographic and named-quadrangle maps;
projections used in geodesy 155
5.1 Topographic map projections 155
5.2 Projections used for maps at scales of 1 : 1000000 and
1:2500000 165
5.3 Conformai projections of the ellipsoid used in geodesy 166
6 Map projection research 171
6.1 Direct and inverse problems of mathematical cartography
involved in the theory of direct transformation of surfaces onto a
plane 171
6.2 Equations for inverse transformation 173
6.3 Map projection research by solving the direct problem of
mathematical cartography 174
6.4 Map projection research by solving the inverse problem of
mathematical cartography 185
7 Best and ideal map projections; projections satisfying given conditions
of representation 193
7.1 General conditions for the best and ideal projections 193
7.2 Chebyshev projections 195
7.3 Conformai projections with adaptable isocols 198
7.4 Conformai projections using elliptic functions 206
7.5 Quasiconformal transformation of flat regions; classes of
equal-area projections closest to conformality 208
7.6 Projections with orthogonal map graticules 211
7.7 Euler projections 212
7.8 Two-point azimuthal projection 214
7.9 Two-point equidistant projection 215
7.10 Projections for anamorphous maps 217
7.11 Isometric coordinates and conformai cylindrical projections of
the triaxial ellipsoid 219
7.12 Map projections for maps on globes 222
7.13 Mapping geodetic lines, loxodromes, small circles, and
trajectory lines of artificial satellites of the Earth 222
8 Numerical methods in mathematical cartography 229
8.1 Interpolation and extrapolation 230
8.2 Numerical differentiation 231
8.3 Numerical integration 232
8.4 Approximation 233
9 Choice and identification of map projections 235
9.1 Theoretical fundamentals of choosing a map projection 235
9.2 Distortion characteristics on projections of the former USSR,
continents, oceans, hemispheres, and world maps 237
Contents vii
9.3 Projections for published maps 240
9.4 Approximate hierarchy of requirements for map projections with
varying perception and assessment of cartographic information 240
9.5 Distortion requirements on various types of small-scale maps 240
9.6 Identification of a map projection from the shape of its graticule
of meridians and parallels 246
10 Problems and directions of automation in obtaining and applying
map projections 249
10.1 Calculation of map projections on a computer 249
10.2 Transformation of the map projection of a base map into a
given projection 251
10.3 Computerized selection of map projections 259
10.4 Research on map projections in an automated environment to
meet given requirements 261
10.5 Identification of map projections in an automated environment 261
10.6 Automated identification and reduction of measurements from
maps using their mathematical basis 262
10.7 Automated plotting of elements of the mathematical basis 262
11 Summary of miscellaneous projections, with references 265
References 279
Appendix 1 295
Appendix 2 299
Appendix 3 304
Appendix 4 307
Appendix 5 312
Appendix 6 315
Appendix 7 317
Appendix 8 319
Index 321
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:33:41Z |
| institution | BVB |
| isbn | 0748403035 0748403043 |
| language | English |
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| publishDate | 1998 |
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| spelling | Bugayevskiy, Lev M. Verfasser aut Map projections a reference manual Lev M. Bugayevskiy ; John P. Snyder Repr. London [u.a.] Taylor & Francis 1998 XX, 328 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Kartennetzentwurf (DE-588)4163370-2 gnd rswk-swf Kartennetzentwurf (DE-588)4163370-2 s DE-604 Snyder, John P. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008697827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bugayevskiy, Lev M. Snyder, John P. Map projections a reference manual Kartennetzentwurf (DE-588)4163370-2 gnd |
| subject_GND | (DE-588)4163370-2 |
| title | Map projections a reference manual |
| title_auth | Map projections a reference manual |
| title_exact_search | Map projections a reference manual |
| title_full | Map projections a reference manual Lev M. Bugayevskiy ; John P. Snyder |
| title_fullStr | Map projections a reference manual Lev M. Bugayevskiy ; John P. Snyder |
| title_full_unstemmed | Map projections a reference manual Lev M. Bugayevskiy ; John P. Snyder |
| title_short | Map projections |
| title_sort | map projections a reference manual |
| title_sub | a reference manual |
| topic | Kartennetzentwurf (DE-588)4163370-2 gnd |
| topic_facet | Kartennetzentwurf |
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